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Finding the Fourth Proportional to 292,527, 438,790.50 and 70,911

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Solution

The fourth proportional to 292,527, 438,790.50 and 70,911 is: 106,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,527 : 438,790.50 = 70,911 : x
  2. Step 2: Convert to fraction form
    292,527/438,790.50 = 70,911/x
  3. Step 3: Cross multiply
    292,527x = 438,790.50 × 70,911
  4. Step 4: Simplify right side
    292,527x = 31,115,073,145.50
  5. Step 5: Solve for x
    x = 31,115,073,145.50/292,527
  6. Step 6: Final answer
    x = 106,366.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.